3387683174400 has 2304 divisors, whose sum is σ = 15349417574400. Its totient is φ = 715309056000.

The previous prime is 3387683174389. The next prime is 3387683174437. The reversal of 3387683174400 is 44713867833.

3387683174400 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 68 + 3 + 174 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×3387683174400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6899558155 + ... + 6899558645.

It is an arithmetic number, because the mean of its divisors is an integer number (6662073600).

Almost surely, 2^{3387683174400} is an apocalyptic number.

3387683174400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387683174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7674708787200).

3387683174400 is an abundant number, since it is smaller than the sum of its proper divisors (11961734400000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3387683174400 is a wasteful number, since it uses less digits than its factorization.

3387683174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3387683174400 in words is "three trillion, three hundred eighty-seven billion, six hundred eighty-three million, one hundred seventy-four thousand, four hundred".